## About

17

Publications

14,628

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113

Citations

Introduction

Additional affiliations

July 2017 - June 2020

**Applica**

Position

- Senior Deep Learning Specialist

October 2016 - March 2017

September 2015 - September 2016

Education

October 2011 - June 2015

October 2006 - June 2011

## Publications

Publications (17)

We define series of representations of the Thompson's groups $F$ and $T$,
which are analogs of principal series representations of $SL(2,\R)$. We show
that they are irreducible and classify them up to unitary equivalence. We also
prove that they are different from representations induced from
finite-dimensional representations of stabilizers of poi...

Let $\Gamma$ be a Gromov hyperbolic group, endowed with an arbitrary
left-invariant hyperbolic metric, quasi-isometric to a word metric. The action
of $\Gamma$ on its boundary $\partial\Gamma$ endowed with the
Patterson-Sullivan measure $\mu$, after an appropriate normalization, gives
rise to a unitary representation of $\Gamma$ on $L^2(\partial\Ga...

The Hecke algebra $\mathbb{C}_q[W]$ of a Coxter group $W$, associated to
parameter $q$, can be completed to a von Neumann algebra $\mathcal{N}_q(W)$. We
study such algebras in case where $W$ is right-angled. We determine the range
of $q$ for which $\mathcal{N}_q(W)$ is a factor, i.e. has trivial center.
Moreover, in case of nontrivial center, we pr...

In the article we settle down the problem of permanence of property RD under group extensions. We show that if 1 → N → G → Q → 1 is a short exact sequence of compactly generated groups such that Q has property RD, and N has property RD with respect to the restriction of a word-length on G, then G has property RD. We also generalize the result of Ji...

We introduce a simple new approach to the problem of understanding documents where non-trivial layout influences the local semantics. To this end, we modify the Transformer encoder architecture in a way that allows it to use layout features obtained from an OCR system, without the need to re-learn language semantics from scratch. We only augment th...

Most of the existing methods for estimating the local intrinsic dimension of a data distribution do not scale well to high-dimensional data. Many of them rely on a non-parametric nearest neighbors approach which suffers from the curse of dimensionality. We attempt to address that challenge by proposing a novel approach to the problem: Local Intrins...

The output structure of database-like tables, consisting of values structured in horizontal rows and vertical columns identifiable by name, can cover a wide range of NLP tasks. Following this constatation, we propose a framework for text-to-table neural models applicable to problems such as extraction of line items, joint entity and relation extrac...

In this paper we introduce a novel approach to the problem of understanding documents where the local semantics is influenced by non-trivial layout. Namely, we modify the Transformer architecture in a way that allows it to use the graphical features defined by the layout, without the need to re-learn the language semantics from scratch, thanks to s...

We propose an introduction to groups of partial automorphisms of locally finite trees. In particular we discuss Neretin's locally compact groups of spheromorphisms.

We prove a generalization of Schur orthogonality relations for certain classes of representations of Gromov hyperbolic groups. We apply the obtained results to show that representations of non-abelian free groups associated to the Patterson-Sullivan measures corresponding to a wide class of invariant metrics on the group are monotonous in the sense...

These are the notes for the mini-course on the property of rapid decay given at the Erwin Schrödinger Institute in Vienna between March 14th and 18th, 2016, as a part of the Measured Group Theory program. They include parts which were omitted during the lectures, and omit some parts which were included in the lectures (and now I think that they sho...

We present an equivalent formulation of Jolissaint's theorem on permanence of property RD under group extensions satisfying some technical conditions, using notions more natural from the point of view of geometric group theory. Namely, we show that if $N$ is a polynomially distorted normal subgroup of $G$, and both $N$ and $G/N$ have property RD, t...

This is the extended version of the talk we gave during the
Arbeitsgemeinschaft on totally disconnected locally compact groups, held in
Oberwolfach in October 2014. We give the definition of the Neretin group of
spheromorphisms of the infinite $q$-regular tree, and describe its natural
totally disconnected group topology, which is not the one that...

We show the irreducibility of some unitary representations of the group of symplectomorphisms and the group of contactomorphisms. Comment: 8 pages; corrected metadata

We prove a variant of the Titchmarsh convolution theorem for simply connected supersolvable Lie groups, namely we show that the convolution algebras of compactly supported continuous functions and compactly supported finite measures on such groups do not contain zero divisors. This can be also viewed as a topological version of the zero divisor con...

## Projects

Project (1)

Development of a "layout-aware language model" allowing to deal with NLP tasks involving documents with non-trivial layout, e.g. text containing tables, charts, forms, formatting, etc.